Build understanding in Mathematics with one-to-one online lessons for NCEA. Share your level, current topic and school specification so the tutor can focus on the next skill you need.
Levels 1, 2 and 3: confirm the exact subject and standard with your schoolLive online support
Connect each algebraic rule to its graph and domain. Roots, intercepts and turning points answer different questions. State restrictions before simplifying an expression.
02
Match practice to your actual course
Levels 1, 2 and 3: confirm the exact subject and standard with your school. Your school’s subject choices, topic sequence and assessment tasks determine the detailed plan. The practice set below samples functions, quadratics and transformations; it is not a complete syllabus or an official exam paper.
03
Prepare a useful question for your tutor
Bring one attempted question and show your working or first draft. Explain what you tried and where the reasoning stopped. Together, identify whether the difficulty is treating f(x) as multiplication or a missing prerequisite, then try a fresh problem independently.
Understand it. Try it. Review it.
Put your mathematics learning into practice.
Worked example · Functions, quadratics and transformations
Find the roots of x^2 - 5x + 6 = 0.
Find two numbers whose product is 6 and sum is -5: -2 and -3.
Factor: (x - 2)(x - 3) = 0.
Set each factor to zero: x = 2 or x = 3.
Common mistakes to check
Treating f(x) as multiplication
Cancelling terms without recording excluded values
Preview the worksheet 